Sufficient conditions for a graph to be Hamiltonian
β Scribed by S Goodman; S Hedetniemi
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 330 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
We prove the following conjecture of Broersma and Veldman: A connected, locally k-connected K,,-free graph is k-hamiltonian if and only if it is (k + 2)-connected ( k L 1). We use [ 11 for basic terminology and notation, and consider simple graphs only. Let G be a graph. By V(G) and E(G) we denote,
We describe a new type of sufficient condition for a digraph to be Hamiltonian. Conditions of this type combine local structure of the digraph with conditions on the degrees of nonadjacent vertices. The main difference from earlier conditions is that we do not require a degree condition on all pairs
## Abstract Let __G__ be a 2βconnected graph of order __n.__ We show that if for each pair of nonadjacent vertices __x__,__y__ β __V(G)__, then __G__ is Hamiltonian.
## Ainouche, A., Four sufficient conditions for hamiltonian graphs, Discrete Mathematics 89 (1991) 195-200.